Solve each of the following problems. The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 4 hours at 50 miles per hour to travel the distance, how long will it take at 40 miles per hour?

Q: Solve the following problems completely. 1. If a body whose temperature is initially 200° C is…

A: Use Newton's law of cooling

Q: Solve the following time rates problems: A softball diamond has the shape of a square wide sides 60…

A: Consider the given information. Let's draw a figure according to the given figure.

Q: Solve each of the following problems. If y is inversely proportional to x, and y = 1/9 when x = 12,…

A:

Q: Solve the following situational problems involving circular functions. 1.The radius of the wheel of…

A: Solve the following situational problems involving circular functions. 1.The radius of the wheel of…

Q: 1. A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled away…

A: Given: A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled…

Q: Solve each of the following problems. The volume of a gas at a constant temperature varies inversely…

A: Let V be the volume of the gas and P be the pressure of a gas at constant temperature. It is given…

Q: Solve each of the following problems. If y is directly proportional to x and inversely proportional…

A:

Q: This question is designed to be answered with a calculator. When the volume of a sphere is 200 cubic…

A: To find at what rate the volume of the sphere is Changing we use the formula for finding the volume…

Q: If a population of bacteria is modeled by the equation p(t) = te^−t^2 million bacteria, with t in…

A: Given, Population of bacteria is modeled by the equation, pt = te-t2  million bacteria When the rate…

Q: Problem 2: Jose is tasked to print a 40-page reaction paper. He noticed that printer A finished…

A: Given Printer A print 40 pages in 2 minutes. Let work be consider as number of pages he printed, To…

Q: Solve the following problems completely. 1. Abody temperature of 60° F is placed in an oven whose…

A: We need to find time.

Q: Solve the following rate of change problems (SOLVE a and b) a) A man starts walking north at 4 ft /…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: If the monthly total cost of producing 27-inch television sets is given by C(x) = 40,000 + 103x,…

A: Consider the given functions, Total Monthly Cost, Cx=40,000+103xCost per unit, Cx=40,000+103xx…

Q: Solve each of the following problems. The volume (V) of a gas varies directly as the temperature (T…

A:

Q: Solve each of the following problems. The electrical resistance of a wire varies directly as its…

A: Let the resistance, length and diameter be R, l and d respectively. R varies directly with l this…

Q: A car traveling at the rate of 20m/s is approaching an intersection. When the car is 100 meters from…

A: Given: dadt=20 m/s and   dbdt=100m/s at   t=2 sec first we convert m into ft so, 20m/s×3.281=65.62…

Q: Solve each of the following problems. If y is inversely proportional to x, and y = 1/35 when x = 14,…

A: Since, it is given that y is inversely proportional to x.Then, y∝1x⇒y=ax-(i), where a is…

Q: The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e-0.6t)2 G(t)…

A:

Q: Solve each of the following problems. The period (the time required for one complete oscillation) of…

A: Given: The period of a simple pendulum varies directly as the square root of its length. A pendulum…

Q: The rate of growth of a fish population was modeled by the equation 60,000e-0.6t (1 + 5e-0.6t)2 G(t)…

A: Here we have given the rate of growth of fish population.

Q: Solve the following problems. 2. At 1:00P.M, a thermometer reading is 70°F is taken outside where…

A:

Q: Solve the following problems. Show your complete solution. 1. If a car covers 15x² + 7x – 2) km in…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only 1 question .

Q: The value of an automobile decreases each year and is described by the equation V() = 24 000(0.95)',…

A: As per Bartleby policy, I can solve only the first question

Q: For a certain culture the equation Q(t) = Q0 e0.1t, where Q0 is an initial number of bacteria and t…

A:

Q: Solve each of the following problems. If y is directly proportional to x, and y = 42 when x = 28,…

A: Given- If y is directly proportional to x, and y=42, when x=28. To Find- The value of y when x=38.

Q: Translate the following statements into equations. 1. The cost c of vegetables varies directly as…

A:

Q: QUESTION 4 a) A retailer bought a rice cooker at RM89. The rice cooker was sold with a gross profit…

A: Cost of cooker = RM89  Profit percentage= 35%

Q: Solve each of the following problems. The volume of a cylinder varies jointly as its altitude and…

A: For getting a variation equation following things should be kept in mind. For a variable C to vary…

Q: Solve each of the following problems. The simple interest earned by a certain amount of money varies…

A: Let I be the simple interest earned, r be the rate of interest and t (in years) be the time. The…

Q: A company has found that the number of items sold, x, depends upon the price, p at which they're…

A:

Q: Find a when d is 9.

A: Given: The variable 'a' varies directly with the square of 'b' The variable 'b' varies inversely…

Q: The number of hours worked varies inversely with the amount of money paid per hour. Bill can earn…

A: According to question given that the number of hours worked Varies inversely with the amount of…

Q: If the population of a certain county was 100,000 in 1998 and 110,339 in 2008 and the formula  y =…

A:

Q: Solve each of the following problems. If y is inversely proportional to the square root of x, and if…

A: Given- y is inversely proportional to the square root of x  and if y=0.08 when x=225. To Find- The…

Q: The legs of an elephant are much thicker in proportion to its body than the legs of a mouse. This is…

A:

Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: The illumination of an object by a light source is directly proportional to the strength of the…

Q: Solve each of the following problems. The period (the time required for one complete oscillation) of…

A: For a given variation problem, the variation equation can be written keeping following things in…

Q: Apply the inverse function to solve for the following problems 4. A proposed train fare would charge…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Solve each of the following problems. If y is directly proportional to x, and y = 36 when x = 48,…

A: y∝xy=kxWhen value ofx=48 and y=3636=k(48)k=3648=34

Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 500g…

A: Given The inital amount of drug A0=500 gramDeplete rate k=10 mg per second∵1 second=13600 hour1…

Q: Solve each of the following problems. The distance that a freely falling body falls varies directly…

A: Let -Distance = dTime = tAccording to question - Distance varies directly as the square of the…

Q: Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles…

A: Given  First automobiles travels north at the rate 60 miles per hour. Second automobiles travels…

Q: Read and solve the given problem. 5. A certain pain reliever has a half-life of 16 hours. If the…

A:

Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

A: Given problem:- If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) =…

Q: Given cost and revenue functions and C(g) = 12q + 3200 and R(g) = 32q, if the company needs to earn…

A:

Q: On a rainy day, a girl broken up with her boyfriend after being together for eight long years. They…

A: Given: The boy is due north crying and running at a rate of 5 ft/sec and the girl is walking due…

Q: Solve the following time rates problems. A girl starts at a point A and runs east at the rate of 10…

A: Given that, A girl starts at a point A and runs east at the rate of 10 ft/sec. One minute later,…

Q: Suppose  c  is inversely proportional to the square of  d. If  c=8  when  d=2⁢, find the constant of…

A: Given, c is inversely proportional to the square of d.

Q: The time, t, it takes a runner to cover a specified distance is inversely proportional to the…

A:

Q: 1.) The number of hours h that it takes m men to assemble x machines varies directly as the number…

A: according to question, about the first machine number of hours to assemble , h1=4 hour number of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.